High-dimensional random arrays. Structural decompositions and concentration.

Abstract: A d-dimensional random array is a stochastic process indexed by theset of all d-element subsets of a set I. We shall discuss the structure of finite,high-dimensional random arrays, with finite valued entries (e.g., boolean) whose distribution is sufficiently symmetric. Specifically, we shall focus on the following interrelated problems: concentration and distributional decompositions. This is joint work with Kostas Tyros and Petros Valettas

functional analysisoperator algebras

Audience: advanced learners

Functional analysis and operator algebras in Athens

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